modularity of ajmal for the lattices of fuzzy ideals of a ring

نویسندگان

iffat jahan

چکیده

in this paper, we construct two fuzzy sets using the notions of level subsets and strong level subsets of a given fuzzy set in a ring r. these fuzzy sets turn out to be identical and provide a universal construction of a fuzzy ideal generated by a given fuzzy set in a ring. using this construction and employing the technique of strong level subsets, we provide the shortest and direct fuzzy set theoretic proof of the fact that the lattice  $vartheta$(r) of all fuzzy ideals of a ring r is modular.

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عنوان ژورنال:
iranian journal of fuzzy systems

ناشر: university of sistan and baluchestan

ISSN 1735-0654

دوره 5

شماره 2 2008

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